Home / 306,711-470,779.50

Finding the Third Proportional to 306,711 and 470,779.50

Calculator

Solution

The third proportional to 306,711 and 470,779.50 is: 722,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,711 : 470,779.50 = 470,779.50 : x
  2. Step 2: Convert to fraction form
    306,711/470,779.50 = 470,779.50/x
  3. Step 3: Cross multiply
    306,711x = 470,779.50 × 470,779.50
  4. Step 4: Simplify right side
    306,711x = 221,633,337,620.25
  5. Step 5: Solve for x
    x = 221,633,337,620.25/306,711
  6. Step 6: Final answer
    x = 722,612.94

Related Problems

Find third proportional to 153,355.50 and 235,389.75
Half scale
Find third proportional to 613,422 and 941,559
Double scale
Find third proportional to 306,713 and 470,783
Similar ratio
Find third proportional to 460,066.50 and 706,169.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.